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Positive Solutions of Fractional Differential Inclusions at Resonance

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Abstract

This paper deals with the fractional differential inclusions at resonance. By the recent Leggett-Williams theorem for coincidences of multi-valued operators due to O’Regan and Zima in [19], we present a new result on the existence of positive solutions for a class of differential inclusion of fractional order with boundary conditions at resonance. And our results improve and generalize the existing results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, P. R. China

    Yi Chen & Xianhua Tang

  2. College of Mathematics and Computer Science, Jishou University, Jishou, Hunan, 416000, P. R. China

    Xiaofei He

Authors
  1. Yi Chen
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  2. Xianhua Tang
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  3. Xiaofei He
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Corresponding author

Correspondence to Xianhua Tang.

Additional information

This work is supported by Hunan Provincial Innovation Foundation For Postgraduate (NO.CX2011B079) and partially supported by the NNSF of China (NO.11171351, NO.11261020) and Scientic Research Fund of Hunan Provincial Education Department (NO.11A095).

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Chen, Y., Tang, X. & He, X. Positive Solutions of Fractional Differential Inclusions at Resonance. Mediterr. J. Math. 10, 1207–1220 (2013). https://doi.org/10.1007/s00009-013-0273-1

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  • DOI: https://doi.org/10.1007/s00009-013-0273-1

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